105610106106100 has 36 divisors (see below), whose sum is σ = 229177748740864. Its totient is φ = 42243338573280.

The previous prime is 105610106106091. The next prime is 105610106106107. The reversal of 105610106106100 is 1601601016501.

It is a super-2 number, since 2×105610106106100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105610106106107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2745954 + ... + 14790553.

Almost surely, 2^{105610106106100} is an apocalyptic number.

105610106106100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105610106106100 is an abundant number, since it is smaller than the sum of its proper divisors (123567642634764).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105610106106100 is a wasteful number, since it uses less digits than its factorization.

105610106106100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17596744 (or 17596737 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 28.

The spelling of 105610106106100 in words is "one hundred five trillion, six hundred ten billion, one hundred six million, one hundred six thousand, one hundred".